Geometry & Topology

On canonical triangulations of once-punctured torus bundles and two-bridge link complements

François Guéritaud

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We prove the hyperbolization theorem for punctured torus bundles and two-bridge link complements by decomposing them into ideal tetrahedra which are then given hyperbolic structures, following Rivin’s volume maximization principle.

Article information

Geom. Topol., Volume 10, Number 3 (2006), 1239-1284.

Received: 10 November 2005
Revised: 29 July 2006
Accepted: 23 July 2006
First available in Project Euclid: 20 December 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 57M50: Geometric structures on low-dimensional manifolds
Secondary: 57M27: Invariants of knots and 3-manifolds

hyperbolic geometry hyperbolic volume ideal triangulations surface bundles two-bridge links angle structures


Guéritaud, François. On canonical triangulations of once-punctured torus bundles and two-bridge link complements. Geom. Topol. 10 (2006), no. 3, 1239--1284. doi:10.2140/gt.2006.10.1239.

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